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Research Workshop: Homology Theories of Knots and Links

March 15, 2010 to March 19, 2010
Organized By: Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).
 
Parent Programs:
Homology Theories of Knots and Links
 
Participant List:
View a List of Registered Participants
 
Categorification and low-dimensional topology

Link homology is a young and rapidly-developing area drawing on many branches of mathematics. The subject has its roots in
representation theory, and it has benefitted from its interactions with low-dimensional, classical, and quantum topology and symplectic geometry. Indeed, several recent developments have underscored the close parallels between link homology and Floer homological invariants for low-dimensional manifolds.

The aim of this conference will be to study recent advances in categorification, link homology, Heegaard Floer homology, and gauge theory. We will also focus on the interactions of these tools with low-dimensional topology, including knot theory and contact geometry.




Accomodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.
The cut-off date for reservations is February 26, 2010.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: MSRIRESEARCHHOMOLOGY. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is February 16, 2010. The rate is $139 per night plus tax.


New, completely renovated Hotel Shattuck Plaza has rooms available for you!
MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri09.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday March 15, 2010

09:30AM - 10:30AM  Lev Rozansky A 2-category associated with a holomorphic symplectic manifold    (See Abstract)
10:30AM - 11:00AM  Tea
11:00AM - 12:00PM  Catharina Stroppel Categorification of coloured Jones and 3j-symbols    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Aaron Lauda A categorification of quantum sl2    (See Abstract)
03:00PM - 03:30PM  Tea
03:30PM - 04:30PM  Pedro Vaz The diagrammatic Soergel category and sl(N)-foams    (See Abstract)

Tuesday March 16, 2010

09:30AM - 10:30AM  Robert Lipshitz Hochschild homology via time dilation    (See Abstract)
10:30AM - 11:00AM  Tea
11:00AM - 12:00PM  Joshua Greene The lens space realization problem    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  András Stipsicz Topological approach to Heegaard Floer homology I
03:00PM - 03:30PM  Tea
03:30PM - 04:30PM  Zoltan Szabo A topological approach to Heegaard Floer homology, II

Wednesday March 17, 2010

09:30AM - 10:30AM  Louis Kauffman Topological Quantum Information, Khovanov Homology and the Jones Polynomial    (See Abstract)
10:30AM - 11:00AM  Tea
11:00AM - 12:00PM  Ben Webster Categorification of quantum groups and quantum knot invariants    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Jacob Rasmussen Holomorphic triangles and maps induced by contact structures    (See Abstract)
03:00PM - 03:30PM  Tea
03:30PM - 04:30PM  Tim Perutz Lagrangian correspondences and invariants for 3-manifolds with boundary    (See Abstract)

Thursday March 18, 2010

09:30AM - 10:30AM  Ciprian Manolescu A combinatorial approach to Heegaard Floer invariants    (See Abstract)
10:30AM - 11:00AM  Tea
11:00AM - 12:00PM  Sucharit Sarkar Sutured Floer homology and minimal genus Seifert surfaces    (See Abstract)
12:00PM - 01:00PM  Lunch
01:00PM - 02:00PM  John Baldwin Comultiplication in link Floer homology and transversely non-simple links    (See Abstract)
02:00PM - 02:30PM  Tea
02:30PM - 03:30PM  Tomasz Mrowka The Unoriented Skein Relation for Instanton Knot Floer homology    (See Abstract)
04:10PM - 05:00PM  UCB Mathematics Department Colloquium: Mikhail Khovano    (See Abstract)

Friday March 19, 2010

09:30AM - 10:30AM  Denis Auroux Fukaya categories of symmetric products and bordered Heegaard-Floer homology    (See Abstract)
10:30AM - 11:00AM  Tea
11:00AM - 12:00PM  Eli Grigsby On sutured Khovanov homology and sutured Floer homology    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Yi-Jen Lee "Filtered Seiberg-Witten Floer homologies with "almost harmonic" perturbations    (See Abstract)
03:00PM - 03:30PM  Tea
03:30PM - 04:30PM  Peter Kronheimer From Khovanov homology to instanton homology for knots    (See Abstract)

Currently Available Videos

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